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Finding the Fourth Proportional to 338.80, 468.20 and 245.88

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Solution

The fourth proportional to 338.80, 468.20 and 245.88 is: 339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.80 : 468.20 = 245.88 : x
  2. Step 2: Convert to fraction form
    338.80/468.20 = 245.88/x
  3. Step 3: Cross multiply
    338.80x = 468.20 × 245.88
  4. Step 4: Simplify right side
    338.80x = 115,121.02
  5. Step 5: Solve for x
    x = 115,121.02/338.80
  6. Step 6: Final answer
    x = 339.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.